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Abstract
Natural materials, such as wood and bone, have a high fracture toughness and this is often attributed to their hierarchical microstructures. While previous studies have shown that hierarchy can increase the buckling strength of lattice materials, a detailed analysis of its impact on fracture toughness is missing. Here, we used analytical modeling and finite element simulations to predict the mode I and mode II fracture toughness of three hierarchical topologies: hexagonal, triangular, and Kagome lattices. Hierarchy significantly improved the fracture toughness of the bending-dominated hexagonal lattice. Notably, the hierarchical hexagonal lattice has a fracture toughness KIC that scales linearly with relative density ρ̄, whereas its non-hierarchical counterpart has KIC∝ρ̄2. In contrast, hierarchy did not improve the toughness of stretching-dominated triangular and Kagome lattices. Hierarchy did, however, modify the behavior of a Kagome lattice: its hierarchical design has a toughness that scales linearly with relative density, whereas KIC∝ρ̄ for its non-hierarchical counterpart. This work presents scaling laws for the fracture toughness of hierarchical lattices, enabling the design of tough architectures at very low densities.
Original language | English |
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Article number | 113374 |
Number of pages | 14 |
Journal | International Journal of Solids and Structures |
Volume | 316 |
DOIs | |
Publication status | Published - 15 Jun 2025 |
MoE publication type | A1 Journal article-refereed |
Keywords
- Finite Element simulation
- Fracture toughness
- Hierarchy
- Honeycomb
- Lattice material
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Dive into the research topics of 'Fracture toughness of hierarchical lattice materials'. Together they form a unique fingerprint.Projects
- 1 Finished
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-: Micro-architectured materials for high toughness
St-Pierre, L. (Principal investigator)
01/09/2019 → 31/08/2023
Project: Academy of Finland: Other research funding